Table 5 Optimized parameters and optimal function value for FC2.

From: A levy chaotic horizontal vertical crossover based artificial hummingbird algorithm for precise PEMFC parameter estimation

Algorithm

PSO

DE

GWO

SSA

LCAHA

\({\xi }_{1}\)

−1.1038486

−1.19969

−0.9284291

−0.8995119

−0.9841445

\({\xi }_{2}\)

0.0037071

0.0039192

0.0033298

0.002554

0.0028593

\({\xi }_{3}\)

7.716E−05

7.254E−05

8.689E−05

3.747E−05

4.165E−05

\({\xi }_{4}\)

−0.0000954

−0.0000954

−0.0000954

−9.542E−05

−0.0000954

\(\lambda\)

14

14

14

14.093636

14

\({R}_{c}\)

0.0001363

0.0001

0.0001063

0.0001195

0.0001204

B

0.0146781

0.019593

0.0187448

0.0180104

0.0167879

Min

0.2756414

0.2759

0.2755531

0.2759128

0.2752105

Max

0.6747868

0.3206847

0.3155648

0.2983612

0.2752105

Mean

0.4427205

0.2849213

0.2898211

0.2849642

0.2752105

Std

0.1917348

0.0199925

0.0165501

0.0112792

2.513E−16

RT

4.5417768

4.1026754

9.410101

8.2868594

3.9154243

FR

4.2

3

3.2

3.6

1